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<div class="header">
  <div class="headertitle">
<div class="title">permutation.h</div>  </div>
</div><!--header-->
<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef PERMUTATION_H_</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define PERMUTATION_H_</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;initializer_list&gt;</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include&lt;boost/lexical_cast.hpp&gt;</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;iostream&gt;</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;cassert&gt;</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &quot;std_ex.h&quot;</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;algorithm&gt;</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
<div class="line"><a name="l00017"></a><span class="lineno"><a class="line" href="classcPermElem.html">   17</a></span>&#160;<span class="keyword">class </span><a class="code" href="classcPermElem.html">cPermElem</a></div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;{</div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
<div class="line"><a name="l00024"></a><span class="lineno"><a class="line" href="classcPermElem.html#a9170fa558dd3cdfae7879631db41235d">   24</a></span>&#160;    <a class="code" href="classcPermElem.html#a9170fa558dd3cdfae7879631db41235d">cPermElem</a>()</div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    {}</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="classcPermElem.html#ad3ff2e93580acca710249f0eb7e04bc3">   30</a></span>&#160;    <a class="code" href="classcPermElem.html#ad3ff2e93580acca710249f0eb7e04bc3">cPermElem</a>(std::size_t size)</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        :m_PermArray(size)</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    {</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        <span class="keywordflow">for</span>(std::size_t index = 0; index &lt; size; index++)</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;        {</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;            m_PermArray[index] = index + 1;</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        }</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    }</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
<div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="classcPermElem.html#a375e3da4877dd48e93ca192bfcd66ddd">   45</a></span>&#160;    <a class="code" href="classcPermElem.html#a375e3da4877dd48e93ca192bfcd66ddd">cPermElem</a>(std::size_t size, <span class="keyword">const</span> std::initializer_list&lt;std::size_t&gt; &amp;perm_sq)</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        :m_PermArray(size)</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;    {</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        <span class="keywordflow">for</span>(std::size_t index = 0; index &lt; size; index++)</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        {</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;            m_PermArray[index] = index + 1;</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;        }</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        <span class="keywordflow">for</span>(<span class="keyword">auto</span> iter = perm_sq.begin(); iter != perm_sq.end()-1; iter++)</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;        {</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;            <span class="keywordflow">if</span>(*iter &lt;= size &amp;&amp; *iter != 0)</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;            {</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;                m_PermArray[(*iter) - 1] = *(iter+1);</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;            }</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;        }</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;        m_PermArray[(*(perm_sq.end()-1)) - 1] = *perm_sq.begin();</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;    }</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
<div class="line"><a name="l00068"></a><span class="lineno"><a class="line" href="classcPermElem.html#a88b976442227c8da9ede9cf9d3f865c5">   68</a></span>&#160;    <a class="code" href="classcPermElem.html#a88b976442227c8da9ede9cf9d3f865c5">cPermElem</a>(<span class="keyword">const</span> std::initializer_list&lt;std::size_t&gt; &amp;perm_sq)</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        :m_PermArray(perm_sq.size())</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;    {</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        std::size_t index = 0;</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        <span class="keywordflow">for</span>(<span class="keyword">auto</span> iter = perm_sq.begin(); iter != perm_sq.end(); iter++)</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        {</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;            m_PermArray[index] = (*iter);</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;            index++;</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        }</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;    }</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
<div class="line"><a name="l00084"></a><span class="lineno"><a class="line" href="classcPermElem.html#a05895c11888d83bc3d35b3c18d90e8e4">   84</a></span>&#160;    <a class="code" href="classcPermElem.html#a05895c11888d83bc3d35b3c18d90e8e4">cPermElem</a>(std::vector&lt;std::size_t&gt; &amp;perm_sq)</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        :m_PermArray(perm_sq.size())</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;    {</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        std::size_t index = 0;</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="keywordflow">for</span>(<span class="keyword">auto</span> iter = perm_sq.begin(); iter != perm_sq.end(); iter++)</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        {</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;            m_PermArray[index] = (*iter);</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;            index++;</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        }</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;    }</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;    ~<a class="code" href="classcPermElem.html">cPermElem</a>()</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;    {</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;    }</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
<div class="line"><a name="l00102"></a><span class="lineno"><a class="line" href="classcPermElem.html#a1b5d12f8fb6131643253f5ed3bad6c28">  102</a></span>&#160;    <span class="keyword">const</span> std::vector&lt;std::size_t&gt;&amp; <a class="code" href="classcPermElem.html#a1b5d12f8fb6131643253f5ed3bad6c28">GetPermutationArray</a>()<span class="keyword">const</span></div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        <span class="keywordflow">return</span> m_PermArray;</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;    }</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
<div class="line"><a name="l00112"></a><span class="lineno"><a class="line" href="classcPermElem.html#a19da6e521f8adf3d252250f3836c563e">  112</a></span>&#160;    <a class="code" href="classcPermElem.html">cPermElem</a> <a class="code" href="classcPermElem.html#a19da6e521f8adf3d252250f3836c563e">operator*</a>(<span class="keyword">const</span> <a class="code" href="classcPermElem.html">cPermElem</a> &amp;perm)<span class="keyword">const</span></div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        assert(perm.GetSize() == m_PermArray.size());</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        std::vector&lt;std::size_t&gt; temp_perm(m_PermArray.size());</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="keywordflow">for</span>(std::size_t index = 0; index &lt; m_PermArray.size(); index++)</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        {</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;            temp_perm[index] = perm.m_PermArray[m_PermArray[index] - 1];</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        }</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="classcPermElem.html#a9170fa558dd3cdfae7879631db41235d">cPermElem</a>(temp_perm);</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;    }</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;    <span class="keywordtype">bool</span> operator==(<span class="keyword">const</span> <a class="code" href="classcPermElem.html">cPermElem</a> &amp;perm)<span class="keyword">const</span></div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;        <span class="keywordflow">if</span>(perm.GetSize() != m_PermArray.size())</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;            <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        <span class="keywordflow">for</span>(std::size_t index = 0; index &lt; m_PermArray.size(); index++)</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;        {</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;            <span class="keywordflow">if</span>(m_PermArray[index] != perm.m_PermArray[index])</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;            {</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;                <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;            }</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;        }</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;        <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;    }</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;    <span class="keywordtype">bool</span> operator!=(<span class="keyword">const</span> <a class="code" href="classcPermElem.html">cPermElem</a> &amp;perm)<span class="keyword">const</span></div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;        <span class="keywordflow">return</span> !(perm == *<span class="keyword">this</span>);</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;    }</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;    <span class="keyword">friend</span> std::ostream&amp; operator&lt;&lt;(std::ostream &amp;of, <span class="keyword">const</span> <a class="code" href="classcPermElem.html">cPermElem</a> &amp;perm)</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;    {</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;        std::string perm_index;</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;        std::string perm_val;</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;        <span class="keywordflow">for</span>(std::size_t index = 0; index &lt; perm.GetSize(); index++)</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;        {</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;            perm_index += boost::lexical_cast&lt;std::string&gt;(index+1) + <span class="stringliteral">&quot; &quot;</span>;</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;            perm_val += boost::lexical_cast&lt;std::string&gt;(perm.m_PermArray[index]) + <span class="stringliteral">&quot; &quot;</span>;</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;        }</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;        <span class="keywordflow">return</span> of &lt;&lt; perm_index &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span> &lt;&lt; perm_val &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span> &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;    }</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;</div>
<div class="line"><a name="l00159"></a><span class="lineno"><a class="line" href="classcPermElem.html#afa5694d1831e653f4cc3b12de6bb058e">  159</a></span>&#160;    <span class="keywordtype">void</span> <a class="code" href="classcPermElem.html#afa5694d1831e653f4cc3b12de6bb058e">rotateLeft</a>()</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;    {</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;        std::size_t first_value = m_PermArray.at(0);</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;        std::size_t index = 0;</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;        <span class="keywordflow">for</span>(index = 0; index &lt; m_PermArray.size()-1; index++)</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;        {</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;            m_PermArray[index] = m_PermArray[index+1];</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;        }</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;        m_PermArray[index] = first_value;</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;    }</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;</div>
<div class="line"><a name="l00174"></a><span class="lineno"><a class="line" href="classcPermElem.html#adad3b042383cf3538bfec790188987c3">  174</a></span>&#160;    std::size_t <a class="code" href="classcPermElem.html#adad3b042383cf3538bfec790188987c3">GetImage</a>(<span class="keyword">const</span> std::size_t set_element)<span class="keyword">const</span></div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;        <span class="keywordflow">return</span> m_PermArray[set_element - 1];</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;    }</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;</div>
<div class="line"><a name="l00183"></a><span class="lineno"><a class="line" href="classcPermElem.html#adbb23b8a368e0d01cd2b450ad0be5efb">  183</a></span>&#160;    <a class="code" href="classcPermElem.html">cPermElem</a> <a class="code" href="classcPermElem.html#adbb23b8a368e0d01cd2b450ad0be5efb">GetMultInverse</a>()<span class="keyword">const</span></div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;        std::vector&lt;std::size_t&gt; perm_array(m_PermArray.size());</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;        <span class="keywordflow">for</span>(std::size_t index = 0; index &lt; m_PermArray.size(); index++)</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;        {</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;            perm_array[m_PermArray[index] - 1] = index + 1;</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;        }</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="classcPermElem.html#a9170fa558dd3cdfae7879631db41235d">cPermElem</a>(perm_array);</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;    }</div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;</div>
<div class="line"><a name="l00196"></a><span class="lineno"><a class="line" href="classcPermElem.html#a11cc987f70282d2984c04c6e058c41e8">  196</a></span>&#160;    <a class="code" href="classcPermElem.html">cPermElem</a> <a class="code" href="classcPermElem.html#a11cc987f70282d2984c04c6e058c41e8">GetAdInverse</a>()<span class="keyword">const</span></div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="classcPermElem.html#adbb23b8a368e0d01cd2b450ad0be5efb">GetMultInverse</a>();</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;    }</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;    std::size_t GetSize()<span class="keyword">const</span></div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;        <span class="keywordflow">return</span> m_PermArray.size();</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;    }</div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> BINOP&gt;</div>
<div class="line"><a name="l00211"></a><span class="lineno"><a class="line" href="classcPermElem.html#a7f5392e3279b766d5f85c01d363c2941">  211</a></span>&#160;    <a class="code" href="classcPermElem.html">cPermElem</a> <a class="code" href="classcPermElem.html#a7f5392e3279b766d5f85c01d363c2941">GetIdentity</a>(BINOP binop)<span class="keyword">const</span></div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="classcPermElem.html#a9170fa558dd3cdfae7879631db41235d">cPermElem</a>(m_PermArray.size());</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;    }</div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;</div>
<div class="line"><a name="l00221"></a><span class="lineno"><a class="line" href="classcPermElem.html#a06f75de000ad4b9524116a029800ca26">  221</a></span>&#160;    std::size_t <a class="code" href="classcPermElem.html#a06f75de000ad4b9524116a029800ca26">GetInversions</a>()<span class="keyword">const</span></div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;        std::size_t inversions = 0;</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;        std::vector&lt;std::size_t&gt; temp = m_PermArray;</div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;        <a class="code" href="classcPermElem.html#abefedad75d8175a886b30a6d36a0eb98">CountInversions</a>(temp.begin(), temp.end(), inversions);</div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;        <span class="keywordflow">return</span> inversions;</div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;    }</div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;</div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;<span class="keyword">private</span>:</div>
<div class="line"><a name="l00234"></a><span class="lineno"><a class="line" href="classcPermElem.html#abefedad75d8175a886b30a6d36a0eb98">  234</a></span>&#160;    <span class="keywordtype">void</span> <a class="code" href="classcPermElem.html#abefedad75d8175a886b30a6d36a0eb98">CountInversions</a>(std::vector&lt;std::size_t&gt;::iterator begin, std::vector&lt;std::size_t&gt;::iterator end,</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;                         std::size_t &amp;inversions)<span class="keyword">const</span></div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;        std::size_t size = end - begin;</div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;        <span class="keywordflow">if</span>(size &lt; 2)</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;            <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;        std::vector&lt;std::size_t&gt;::iterator begin_right = begin + size/2;</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;        <a class="code" href="classcPermElem.html#abefedad75d8175a886b30a6d36a0eb98">CountInversions</a>(begin, begin_right, inversions);</div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;        <a class="code" href="classcPermElem.html#abefedad75d8175a886b30a6d36a0eb98">CountInversions</a>(begin_right, end, inversions);</div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;        <a class="code" href="classcPermElem.html#aa39ae9f1b4d3efd38616ff822caebbb9">MergeInversions</a>(begin, begin_right, end, inversions);</div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;    }</div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;</div>
<div class="line"><a name="l00250"></a><span class="lineno"><a class="line" href="classcPermElem.html#aa39ae9f1b4d3efd38616ff822caebbb9">  250</a></span>&#160;    <span class="keywordtype">void</span> <a class="code" href="classcPermElem.html#aa39ae9f1b4d3efd38616ff822caebbb9">MergeInversions</a>(std::vector&lt;std::size_t&gt;::iterator begin, std::vector&lt;std::size_t&gt;::iterator begin_right,</div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;                         std::vector&lt;std::size_t&gt;::iterator end, std::size_t &amp;inversions)<span class="keyword">const</span></div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;        std::size_t size_left = begin_right - begin;</div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;        std::vector&lt;std::size_t&gt; leftArray(begin, begin_right);</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;        leftArray.push_back(INT_MAX);   <span class="comment">//sentinel</span></div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;        std::vector&lt;std::size_t&gt; rightArray(begin_right, end);</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;        rightArray.push_back(INT_MAX);  <span class="comment">//sentinel</span></div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;</div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;        <span class="keywordtype">int</span> i = 0, j = 0;</div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;        <span class="keywordtype">bool</span> counted = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;        <span class="keywordflow">while</span>(begin != end)</div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;        {</div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;            <span class="keywordflow">if</span>( (<span class="keyword">false</span> == counted) &amp;&amp; (rightArray[j] &lt; leftArray[i]) )</div>
<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;            {</div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;                inversions += size_left - i;</div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;                counted = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;            }</div>
<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;            <span class="keywordflow">if</span>(leftArray[i] &lt;= rightArray[j])</div>
<div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;            {</div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;                *begin = leftArray[i];</div>
<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;                i++;</div>
<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;            }</div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;            <span class="keywordflow">else</span></div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;            {</div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;                *begin = rightArray[j];</div>
<div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;                j++;</div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;                counted = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;            }</div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;            begin++;</div>
<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;        }</div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;    }</div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;</div>
<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;</div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;<span class="keyword">private</span>:</div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;    std::vector&lt;std::size_t&gt; m_PermArray;</div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;};</div>
<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;</div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;</div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;</div>
<div class="ttc" id="classcPermElem_html_a06f75de000ad4b9524116a029800ca26"><div class="ttname"><a href="classcPermElem.html#a06f75de000ad4b9524116a029800ca26">cPermElem::GetInversions</a></div><div class="ttdeci">std::size_t GetInversions() const </div><div class="ttdef"><b>Definition:</b> permutation.h:221</div></div>
<div class="ttc" id="classcPermElem_html_aa39ae9f1b4d3efd38616ff822caebbb9"><div class="ttname"><a href="classcPermElem.html#aa39ae9f1b4d3efd38616ff822caebbb9">cPermElem::MergeInversions</a></div><div class="ttdeci">void MergeInversions(std::vector&lt; std::size_t &gt;::iterator begin, std::vector&lt; std::size_t &gt;::iterator begin_right, std::vector&lt; std::size_t &gt;::iterator end, std::size_t &amp;inversions) const </div><div class="ttdef"><b>Definition:</b> permutation.h:250</div></div>
<div class="ttc" id="classcPermElem_html_a1b5d12f8fb6131643253f5ed3bad6c28"><div class="ttname"><a href="classcPermElem.html#a1b5d12f8fb6131643253f5ed3bad6c28">cPermElem::GetPermutationArray</a></div><div class="ttdeci">const std::vector&lt; std::size_t &gt; &amp; GetPermutationArray() const </div><div class="ttdef"><b>Definition:</b> permutation.h:102</div></div>
<div class="ttc" id="classcPermElem_html_a375e3da4877dd48e93ca192bfcd66ddd"><div class="ttname"><a href="classcPermElem.html#a375e3da4877dd48e93ca192bfcd66ddd">cPermElem::cPermElem</a></div><div class="ttdeci">cPermElem(std::size_t size, const std::initializer_list&lt; std::size_t &gt; &amp;perm_sq)</div><div class="ttdef"><b>Definition:</b> permutation.h:45</div></div>
<div class="ttc" id="classcPermElem_html_a9170fa558dd3cdfae7879631db41235d"><div class="ttname"><a href="classcPermElem.html#a9170fa558dd3cdfae7879631db41235d">cPermElem::cPermElem</a></div><div class="ttdeci">cPermElem()</div><div class="ttdef"><b>Definition:</b> permutation.h:24</div></div>
<div class="ttc" id="classcPermElem_html_abefedad75d8175a886b30a6d36a0eb98"><div class="ttname"><a href="classcPermElem.html#abefedad75d8175a886b30a6d36a0eb98">cPermElem::CountInversions</a></div><div class="ttdeci">void CountInversions(std::vector&lt; std::size_t &gt;::iterator begin, std::vector&lt; std::size_t &gt;::iterator end, std::size_t &amp;inversions) const </div><div class="ttdef"><b>Definition:</b> permutation.h:234</div></div>
<div class="ttc" id="classcPermElem_html_adad3b042383cf3538bfec790188987c3"><div class="ttname"><a href="classcPermElem.html#adad3b042383cf3538bfec790188987c3">cPermElem::GetImage</a></div><div class="ttdeci">std::size_t GetImage(const std::size_t set_element) const </div><div class="ttdef"><b>Definition:</b> permutation.h:174</div></div>
<div class="ttc" id="classcPermElem_html_a05895c11888d83bc3d35b3c18d90e8e4"><div class="ttname"><a href="classcPermElem.html#a05895c11888d83bc3d35b3c18d90e8e4">cPermElem::cPermElem</a></div><div class="ttdeci">cPermElem(std::vector&lt; std::size_t &gt; &amp;perm_sq)</div><div class="ttdef"><b>Definition:</b> permutation.h:84</div></div>
<div class="ttc" id="classcPermElem_html_adbb23b8a368e0d01cd2b450ad0be5efb"><div class="ttname"><a href="classcPermElem.html#adbb23b8a368e0d01cd2b450ad0be5efb">cPermElem::GetMultInverse</a></div><div class="ttdeci">cPermElem GetMultInverse() const </div><div class="ttdef"><b>Definition:</b> permutation.h:183</div></div>
<div class="ttc" id="classcPermElem_html_a7f5392e3279b766d5f85c01d363c2941"><div class="ttname"><a href="classcPermElem.html#a7f5392e3279b766d5f85c01d363c2941">cPermElem::GetIdentity</a></div><div class="ttdeci">cPermElem GetIdentity(BINOP binop) const </div><div class="ttdef"><b>Definition:</b> permutation.h:211</div></div>
<div class="ttc" id="classcPermElem_html"><div class="ttname"><a href="classcPermElem.html">cPermElem</a></div><div class="ttdef"><b>Definition:</b> permutation.h:17</div></div>
<div class="ttc" id="classcPermElem_html_a11cc987f70282d2984c04c6e058c41e8"><div class="ttname"><a href="classcPermElem.html#a11cc987f70282d2984c04c6e058c41e8">cPermElem::GetAdInverse</a></div><div class="ttdeci">cPermElem GetAdInverse() const </div><div class="ttdef"><b>Definition:</b> permutation.h:196</div></div>
<div class="ttc" id="classcPermElem_html_ad3ff2e93580acca710249f0eb7e04bc3"><div class="ttname"><a href="classcPermElem.html#ad3ff2e93580acca710249f0eb7e04bc3">cPermElem::cPermElem</a></div><div class="ttdeci">cPermElem(std::size_t size)</div><div class="ttdef"><b>Definition:</b> permutation.h:30</div></div>
<div class="ttc" id="classcPermElem_html_a88b976442227c8da9ede9cf9d3f865c5"><div class="ttname"><a href="classcPermElem.html#a88b976442227c8da9ede9cf9d3f865c5">cPermElem::cPermElem</a></div><div class="ttdeci">cPermElem(const std::initializer_list&lt; std::size_t &gt; &amp;perm_sq)</div><div class="ttdef"><b>Definition:</b> permutation.h:68</div></div>
<div class="ttc" id="classcPermElem_html_a19da6e521f8adf3d252250f3836c563e"><div class="ttname"><a href="classcPermElem.html#a19da6e521f8adf3d252250f3836c563e">cPermElem::operator*</a></div><div class="ttdeci">cPermElem operator*(const cPermElem &amp;perm) const </div><div class="ttdef"><b>Definition:</b> permutation.h:112</div></div>
<div class="ttc" id="classcPermElem_html_afa5694d1831e653f4cc3b12de6bb058e"><div class="ttname"><a href="classcPermElem.html#afa5694d1831e653f4cc3b12de6bb058e">cPermElem::rotateLeft</a></div><div class="ttdeci">void rotateLeft()</div><div class="ttdef"><b>Definition:</b> permutation.h:159</div></div>
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